What is the answer to 0.5ln(x-2)-2ln(x-2)=1 ?

The answer to 0.5ln(x-2)-2ln(x-2)=1 is x= 1/(e^{2/3)}+2

Solve for x: 0.5ln(x-2)-2ln(x-2)=1

The solution is x= 1/(e^{2/3)}+2

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0.5 ln (x - 2) - 2 ln (x - 2) = 1

x = \frac{1}{e ^{\frac{2}{3}}} + 2

Decimal Notation

x = 2.51341 \dots

Solution steps

0.5 ln (x - 2) - 2 ln (x - 2) = 1

Add similar elements:

0.5 ln (x - 2) - 2 ln (x - 2) = - 1.5 ln (x - 2)

- 1.5 ln (x - 2) = 1

Multiply both sides by

10

- 15 ln (x - 2) = 10

Divide both sides by

- 15

ln (x - 2) = - \frac{2}{3}

Apply log rules

x - 2 = \frac{1}{e ^{\frac{2}{3}}}

Solve

x - 2 = \frac{1}{e ^{\frac{2}{3}}} : x = \frac{1}{e ^{\frac{2}{3}}} + 2

x = \frac{1}{e ^{\frac{2}{3}}} + 2

Verify Solutions:

x = \frac{1}{e ^{\frac{2}{3}}} + 2

True

The solution is

x = \frac{1}{e ^{\frac{2}{3}}} + 2

ln (x) = ln (16)

ln (x) + ln (x - 2) = - 1

lo g_{3} (x) = 1 + lo g_{3} (x - 6)

9 = lo g_{2} (2 x)

lo g_{10} (x + 2) = 1

What is the answer to 0.5ln(x-2)-2ln(x-2)=1 ?
The answer to 0.5ln(x-2)-2ln(x-2)=1 is x= 1/(e^{2/3)}+2
Solve for x: 0.5ln(x-2)-2ln(x-2)=1
The solution is x= 1/(e^{2/3)}+2